Anyone know how to antidifferentiate this equation?

[iVincent]

If it's possible can anyone show me the worked solution for this question? Thanks 

[keltingmeith]

If it's possible can anyone show me the worked solution for this question? Thanks 

... Is there anything else to this? Was it just a simple "find (integral)"? Is it definitely from a VCE specialist resource?

[de]

If it's possible can anyone show me the worked solution for this question? Thanks 

Now to integrate the x sinx term we think about the product rule can we know that we can get an x sinx term by differentiating -xcosx. the derivative of that is xsinx-cosx so we have to fudge the original to get the right expression and we see that
therefore

[keltingmeith]

Now to integrate the x sinx term we think about the product rule can we know that we can get an x sinx term by differentiating -xcosx. the derivative of that is xsinx-cosx so we have to fudge the original to get the right expression and we see that
therefore

Very impressive work! BUT, the technique you've used (considering the derivative of x*cos(x)) is not covered in the VCE curriculum. If you feel like learning more about it, though, see here.

[de]

Very impressive work! BUT, the technique you've used (considering the derivative of x*cos(x)) is not covered in the VCE curriculum. If you feel like learning more about it, though, see here.

I'll confess that I was aware of integration by parts which, of course, is the reality behind this. I was attempting to put a "recognition" spin on the answer, seeing as this is a spec forum. Pity parts isn't in the spec course though.